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Finding the Fourth Proportional to 205,389.80, 308,084.70 and 163,917.80

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Solution

The fourth proportional to 205,389.80, 308,084.70 and 163,917.80 is: 245,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,389.80 : 308,084.70 = 163,917.80 : x
  2. Step 2: Convert to fraction form
    205,389.80/308,084.70 = 163,917.80/x
  3. Step 3: Cross multiply
    205,389.80x = 308,084.70 × 163,917.80
  4. Step 4: Simplify right side
    205,389.80x = 50,500,566,237.66
  5. Step 5: Solve for x
    x = 50,500,566,237.66/205,389.80
  6. Step 6: Final answer
    x = 245,876.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.